Finite Coxeter Groups

Abstract

Finite Coxeter groups, named after H.S.M Coxeter, is an abstract group generated by finite set of reflections with some defining properties. In this dissertation we define Finite Coxeter groups and give some of its properties, which is discussed in chapter 2 and 3. In chapter 4 we give a presentation of Coxeter groups. In chapter 5 and 6 we define Coxeter graphs and classification and construction of finite Coxeter Groups is discussed based on that.